Is it permissible to make up for missed fasting days from the previous year with a pre-dawn intention, then sleep and wake up after noon, and then renew the intention and fast?

The intention for any obligatory fast must be made during the night. So, if you intend to fast tomorrow upon waking before dawn, or at any point during the night, your fast is valid. However, if you do not make the intention to fast until you wake up at noon, or if you had intended it on previous nights, the fast for that day is not sufficient for making up (a missed fast) because the intention must be made from the night.